Displaying similar documents to “On zeta-functions associated to certain cusp forms. II”

Some problems on mean values of the Riemann zeta-function

Aleksandar Ivić (1996)

Journal de théorie des nombres de Bordeaux

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Several problems and results on mean values of ζ ( s ) are discussed. These include mean values of | ζ ( 1 2 + i t ) | and the fourth moment of | ζ ( σ + i t ) | for 1 / 2 < σ < 1 .

Extremal values of Dirichlet L -functions in the half-plane of absolute convergence

Jörn Steuding (2004)

Journal de Théorie des Nombres de Bordeaux

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We prove that for any real θ there are infinitely many values of s = σ + i t with σ 1 + and t + such that { exp ( i θ ) log L ( s , χ ) } log log log log t log log log log t + O ( 1 ) . The proof relies on an effective version of Kronecker’s approximation theorem.